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Finding the Fourth Proportional to 394,146.10, 543,922.14 and 224,380

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Solution

The fourth proportional to 394,146.10, 543,922.14 and 224,380 is: 309,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,146.10 : 543,922.14 = 224,380 : x
  2. Step 2: Convert to fraction form
    394,146.10/543,922.14 = 224,380/x
  3. Step 3: Cross multiply
    394,146.10x = 543,922.14 × 224,380
  4. Step 4: Simplify right side
    394,146.10x = 122,045,249,773.20
  5. Step 5: Solve for x
    x = 122,045,249,773.20/394,146.10
  6. Step 6: Final answer
    x = 309,644.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.